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Finding the Fourth Proportional to 503,546.14, 695,040.41 and 329,141.68

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Solution

The fourth proportional to 503,546.14, 695,040.41 and 329,141.68 is: 454,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,546.14 : 695,040.41 = 329,141.68 : x
  2. Step 2: Convert to fraction form
    503,546.14/695,040.41 = 329,141.68/x
  3. Step 3: Cross multiply
    503,546.14x = 695,040.41 × 329,141.68
  4. Step 4: Simplify right side
    503,546.14x = 228,766,767,300.54
  5. Step 5: Solve for x
    x = 228,766,767,300.54/503,546.14
  6. Step 6: Final answer
    x = 454,311.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.